Answer:
Rational numbersStep-by-step explanation:
A rational number is a number that can be written as a ratio of two integers. The are expressed as fractions. Given the value 8/9, this value is a fraction and is written as a ratio of two integers 8 and 9.
The value is neither a real number, nor an integer because integers and whole numbers are not expressed as fractions.
Natural numbers are also whole numbers starting from 1 and above. Hence 8/9 is not a natural number as well.
Note that irrational numbers are also classified as real numbers and they can not be written as a ratio of two integers.
Conclusively, 8/9 is only classified as a rational number
Pregunta 4 (1 punto)
4.) Fill in the blank
2(x+7) = 2x + _
оа
a) 7
b) 14
c
c) 7x
d) 14x
Od
Answer:
7....................
The population of a town increased from 3600 in 2006 to 4500 in 2011. Find the absolute and relative (precent) increase.
what grade math is this????????????????????
The bad debt ratio for a financial institution is defined to the dollar value of loans defaulted divided by the total dollar value of all loans made. Suppose that a random sample of 7 Ohio banks is selected and that the bad debt ratios (written as percentages) for these banks are 6%, 8%, 5%, 9%, 7%, 5% and 8%. Banking officials claim that the mean debt ratio for all Midwestern banks is 3.5 percent and the mean bad debt ratio for Ohio banks is higher. Set up the null and alternative hypotheses needed to attempt to provide evidence supporting the claim that the mean bad debt ratio for Ohio banks exceed 3.5 percent. (a) H0: μ ≤ [ Select ] % versus Ha: μ > [ Select ] %. (b) Discuss the meanings of a Type I error and a Type II error in this situation. Type I : Conclude that Ohio's mean debt ratio is [ Select ] 3.5 % when it actually is 3.5%. Type II : Conclude that Ohio's mean debt ratio is [ Select ] 3.5 % when it actually is 3.5%.
Answer:
Step-by-step explanation:
From the information given:
Consider X to be the random variable denoting the bad debt ratios for Ohio Bank.
Then, [tex]X \sim N ( \mu, \sigma ^2)[/tex]
Thus the null hypothesis and the alternative can be computed as:
Null hypothesis:
[tex]H_o : \mu \leq3.5\%[/tex]
Alternative hypothesis
[tex]H_1 : \mu > 3.5\%[/tex]
The type I and type II error is as follows:
Type I:
The mean bad debt ratio is > 3.5% when it is not
Type II:
The mean bad debt ratio is ≤ 3.5% when it is not.
The test statistics can be calculated by using the formula:
[tex]t = \dfrac{\overline x - \mu}{\dfrac{\sigma}{\sqrt{n}}}[/tex]
where;
sample size n = 7
mean = 6+8+5+9+7+5+8 = 48
sample mean [tex]\overline x =\dfrac{48}{7}[/tex]
[tex]\overline x[/tex] = 6.86
sample standard deviation is :
[tex]s = \sqrt{\dfrac{\sum( x -\overline x)^2}{n-1}}[/tex]
[tex]s = \sqrt{\dfrac{( 6 -6.86)^2+( 8-6.86)^2+ ( 5 -6.86)^2 + ...+( 7 -6.86)^2+ ( 5 -6.86)^2+( 8 -6.86)^2 }{7-1}}[/tex]
s = 1.573
population mean [tex]\mu = 3.5[/tex]
Therefore, the test statistics is :
[tex]t = \dfrac{\overline x - \mu}{\dfrac{\sigma}{\sqrt{n}}}[/tex]
[tex]t = \dfrac{6.86- 3.5}{\dfrac{1.573}{\sqrt{7}}}[/tex]
[tex]t = \dfrac{3.36}{\dfrac{1.573}{2.65}}[/tex]
[tex]t = \dfrac{3.36\times {2.65}}{{1.573}}[/tex]
t = 5.660
At significance level of 0.01
[tex]t_{0.01} = 3.707[/tex]
P - value = P(T > 5.66)
P - value = 1 - (T < 5.66)
P - value = 1 - 0.9993
P-value = 0.0007
Therefore, since [tex]t_{0.01} < t[/tex] , we reject the null hypothesis and conclude that the claim that the mean bad debt ratio for Ohio banks is higher than the mean for all financial institutions is true.
Other than itself, what is an angle that is congruent to ∠CFD?
Answer:
CFB or DFE
Step-by-step explanation:
Congruent angles have the same value in degrees.
Knowing that line DB is straight and CE is perpendicular to DB (at 90 degrees to DB), we know CFD is 90 for the sum of CFD and CFB to equal 180 degrees (since they are on a straight line which is 180 degrees). We also know DFE is 90 for the same reason.
Our question is asking what is congruent or the same angle as CFD. In this case, there are 2 congruent angles: CFB and DFE.
CFB is 90 these angles are on the same line DB and are supplementary (add up to 180 degrees)
DFE is also a correct option since this and CFD are on the line CE and are also supplementary
help with a and describe
Answer:
1
Step-by-step explanation:
Simply plug in 0 for x:
g(0) = 5x + 1
g(0) = 5(0) + 1
g(0) = 1
What is 3.4 x 10-6 in standard notation?
O A. 0.0000034
OB.
1
3.40
C. 3,400,000
D. 0.000034
Answer: Choice A) 0.0000034
[tex]3.4 \times 10^{-6} = 0.0000034[/tex]
There are five zeros between the decimal point and the '3'
To get this answer, you start with 3.4 and then move the decimal point 6 places to the left due to the exponent of -6. If the exponent was positive, then we'd move 6 places to the right.
Clare has 8 fewer books than Mai. if mai has 26 books how many books does has Clara have?
Answer:
18
Step-by-step explanation:
The number of books with Clara is given by the equation C = 18 books
What do you mean by an Equation?Equations are statements in mathematics that have two algebraic expressions on either side of the equals (=) sign.
It displays the similarity of the connections between the phrases on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are examples of the parts of an equation. When creating an equation, the "=" symbol and terms on both sides are necessary.
Given data ,
Let the number of books with Clara be represented as C
Let the number of books with Mai be represented as M
And , Clara has 8 fewer books than Mai
So , the equation is
C = M - 8 be equation (1)
The number of books with Mai , M = 26 books
Now , when M = 26 books
On simplifying , we get
C = 26 - 8
C = 18 books
Therefore , the value of C is 18 books
Hence , the number of books with Clara is 18 books
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939miles * 15gallons / 40miles = x
Answer: 281.7
Step-by-step explanation:
1.CONVERT TO SCIENTIFIC NOTATION2.CONVERT TO STANDARD NOTATION
a. 895,000,000,000a. 3.65 x 108
Answer:
Step-by-step explanation:
a. 8.95 x 10^11
b. 3.65 x 10^8= 365,000,000
Answer:
a. 8.95 x 10^11
b. 3.65 x 10^8= 365,000,000
Step-by-step explanation:
How many quarts of pure antifreeze must be added to 2 quarts of a 10% antifreeze solution to obtain a 30% antifreeze solution
Answer:
x: 1/4=0.25 quarts of 100% antifreeze
Hope this helps
There are a total of 24
girls who are going to
camp. If 4 girls are
assigned to each cabin,
how many cabins will be
needed?
Answer: the answer is six cabins
Step-by-step explanation: if you divide 24 by 4 you end up with 6
Answer:
6 cabins will be required
Step-by-step explanation:
No. of girls=24
No. of girls in each cabin=4
No. of cabins=24/4=6
A homeowners association charges a $3.85 fee for each day your payment is late. If a bull is paid 13 days late, then how much will the homeowners association charge in late fees?
Answer:
$50.05
Step-by-step explanation:
Since you have to pay $3.85 per day, and you pay it 13 days late, then you would multiply $3.85 and 13.
3.85*13= 50.05
Total amount of late charges fee is $50.05
Given that;Amount pay for late charges = $3.85
Number of days = 13 days
Find:Total amount of late charges fee
Computation:Total amount of late charges fee = Amount pay for late charges × Number of days
Total amount of late charges fee = 3.85 × 13
Total amount of late charges fee = $50.05
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4x - 3y = 6 ,7x + 3y =27
Answer:
Step-by-step explanation:
4x - 3y = 6
7x + 3y = 27
11x = 33
x = 3
7(3) + 3y = 27
21 + 3y = 27
3y = 6
y = 2
(3,2)
Answer:
x=3 and y=2
Step-by-step explanation:
Let's solve your system by substitution.
4x−3y=6;7x+3y=27
Step: Solve4x−3y=6for x:
4x−3y=6
4x−3y+3y=6+3y(Add 3y to both sides)
4x=3y+6
4x /4 = 3y+6 /4 (Divide both sides by 4)
x= 3 /4 y+ 3 /2
Step: Substitute
3 /4 y+ 3 /2 for x in7x+3y=27:
7x+3y=27
7( 3 /4 y+ 3 /2 )+3y=27
33 /4 y+ 21 /2
=27 (Simplify both sides of the equation)
33 /4 y+ 21 /2 + (−21 /2 )
=27+ (−21 /2) (Add (-21)/2 to both sides)
33 /4 y= 33 2
33/4y=33/2
33 /4 =33/4 (Divide both sides by 33/4)
y=2
Step: Substitute 2 for y in x= 3 /4 y+ 3 /2
x= 3 /4 y+ 3 /2
x= 3 /4 (2)+ 3 /2
x=3 (Simplify both sides of the equation)
Answer:
x=3 and y=2
HOPE THIS HELPS!!!! :)
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31.14
A soap factory randomly inspects 100 bars of soap to better identify problems that occur during the manufacturing
process. The table below displays the possible problems and frequency for each.
Frequency
4
2
Soap Problems
Underweight
Impurities
Broken bar
None
Total
3
91
100
If the soap factory makes 5,000 bars of soap per day, how many of those bars would they expect to be broken?
O They would expect 100 bars to be broken.
They would expect 150 bars to be broken.
They would expect 300 bars to be broken.
They would’ve many bars would they expect to be broken
expect 450 bars to be broken.
Save and Exit
Next
Submar
Mark this and
Answer:
B. 150 bars to be broken
Answer:
They would expect 150 bars to be broken.
Step-by-step explanation:
Correct on Edge2020
what is the differnence between (-2)^2 and -2^2 in math
Answer:
(-2)^2 = 4-2^2 = -4Step-by-step explanation:
The first is (-2)(-2) = 4.
The second is -(2)(2) = -4.
The order of operations says exponents are evaluated first. An exponent signifies repeated multiplication of the base.
_____
If your calculator is working correctly, it will show you the difference.
__
Beware spreadsheet programs. They don't always follow the order of operations when evaluating formulas. Parentheses are often required to keep them honest.
Answer: The one with perinthesis is bigger because you would do the negative first and you would have nothing to take away from
Step-by-step explanation:
What is the approximate value for 83 divided 5 ?
83 divided by 5 is 16.6 if you need to round that, the answer would be 17
The quotient of the equation when A = 83/5 = 16.6
Given data ,
Let the quotient of the expression be represented as A
Now , the value of A is
Let the first number be represented as p
Now , the value of p = 83
Let the second number be represented as q
Now , the value of q = 5
where A = p/q
On simplifying the equation , we get
A = 83 / 5
A = 16.6
Therefore , the quotient of the expression is A = 16.6
Hence , the expression is A = 16.6
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last year ,rita opened an investment account with $400 At the end of the year the amount in the account had decreased by 28.5% how much is this decrease in dollars? how much money way in her account at the end of last year
Answer:
Step-by-step explanation:
decrease=400×0.285=114.000 $
amount at the end=400-114=286 $
Why is it important to have all parts of a graph clearly labeled and drawn
Answer:
A graph has to be clearly labelled and drawn for clarity and to aid the correct interpretation of the data shown on the graph.
Find its inverse, and state the domain and range.
5. Solve: 16 * 22 / 2
Answer:
176
Step-by-step explanation:
Usually you'll follow PEMDAS & the left->right rule, however, as you are only multiplying and dividing, it does not matter.
22/2 = 11
11 * 16 = 176
176 is your answer.
~
Answer:
176
Step-by-step explanation:
PEMDAS : first Multiply 16 & 22 which equals 352. Then Divide 352 by 2 which equals 176.
Which angles are complementary to each other?
Answer:
angle CDA and angle BDC
mark this as brainliest!
Answer:
∠CDA and ∠BDC as their sum equals 90°
Step-by-step explanation:
Rewrite 4/10 : 1/25 as unit rate
Answer: 10
Explanation:
remember that when you have a divided fraction, you can change de numerator and denominator so your fractions be like this:
4/10 * 25/1 = 100/10
10*1
100/10= 10
this happens because when you have a fraction that is being divided, it's also like you are cross multiplying, just like the resolution upwards, then you get 100 divided by 10, which is 10.
I hope it helps you. :)
Write the expression in words 5-y
Answer:
five minus y
Step-by-step explanation:
Answer:
y less than five
Step-by-step explanation:
thats your answer, please trust me
15. _TYU and ZUYB form a linear pair. The mZTYU = 5x - 4 and mZUYB =
3x + 10. Find the degree measure of each angle. HINT: draw a picture.
Upload your work in canvas assignment.
Answer:
∠TYU = 104.75°∠UYB = 75.25°Step-by-step explanation:
A picture on scratch paper works as well as any.
__
The sum of the two angles is 180°:
(5x -4) +(3x +10) = 180
8x = 174 . . . . . . collect terms, subtract 6
x = 21.75 . . . . . .divide by 8
Then the angle measures are ...
∠TYU = 5(21.75) -4 = 104.75°
∠UYB = 3(21.75) +10 = 75.25°
_____
Check
The total is 104.75 +75.25 = 180, as required.
Answer:
104.75 +75.25 = 180
Step-by-step explanation:
Stanley says, "If a point is not on a line, then the line and the point exist on exactly one plane." If the point IS on the line, how would his statement need to be changed? Thank you!
Answer:
If the point IS on the line, then the point and the line exist on an infinite number of planes.
Step-by-step explanation:
If the point IS on the line, then the point and the line exist on an infinite number of planes.
D) Solve for k.
4(K + 11) - -2 = 6
K=
Answer: K=23
Step-by-step explanation:
Answer:
k=9
Step-by-step explanation:
4k+44 because you distribute the 4 to the parenthesis
new equation: 4k+44-2=6
add 2 to 6 which would be 8 because you have to get k by itself
4k+44=8 subtract 44 from 8
-36=4k
divide by four
k=-9
if the equation is really 4(k+11)--2=6
do the same first steps so 4k+44
but the -2 would become positive cuz of the double negative
so:
4k+44+2=6
4k+46=6
subtract 46 from 6
4k=-40
divide -40 by 4
k=-10
Your school’s football team scored 49 points. Your team’s score was 19 points more than the opponent’s score s. Write and solve an equation to find the opponent’s score.
Answer:
30
Step-by-step explanation:
Well its pretty simple just take 19-49 unless its for something else all i knew was that its 19-49= 30
In the 2009-2010 school year in country A, there were 115,000 foreign students from country B. This number is 22% more than the number of students from country C. How many foreign students were from country C?
Answer:
522727.27
Step-by-step explanation:
115000/0.22
a parent volunteer group is raising money by making custom hats to sell at school activities.they plan to sell the hats for $10. each hat $4 to make and they spend $50 for advertising.
use n to represent the number of hats they sell. multiply this money by the money for each hat, then subtract that form the advertising cost.
which expression represents the money that the group raised
Answer:
Money raised($)= 6n-50
Step-by-step explanation:
they plan to sell the hats for $10. each hat $4 to make and they spend $50 for advertising.
If their are no number of hats
Cost = 50+4n
Money gotten from the n number of hats= 10(n)
If they are to make profit, the money gotten from the sales of hats should be bigger than the total cost
Money raised = money from sales- cost
Money raised= 10n -4n-50
Money raised($)= 6n-50
The answer is (10-4)n-50
You subtract the amount of money used to make the hat from the price they are selling the hats. You then multiply that by the number of hats they sold. Then you subtract that from the amount of money spent on advertisement. Therefore the answer is (10 - 4) n - 50
The formula V = IR shows the relationship between voltage, current, and resistance. Solve this formula for R.
Answer:
R=V/I
Step-by-step explanation:
Divide V by I to isolate R on one side.
Answer:
R=V/I
Step-by-step explanation:
Because resistance formula is v/i